問題詳情

There are 7 problems in this test. No calculators are allowed. Write down detailed steps forthe solution to each problem. Otherwise, no credits for that problem will be given.
【題組】

1. Let x1, x2, ,

be a sequence of n integers. A consecutive subsequence ofx1,x2,... .,

is a subsequence

for some i, j, 1 ≤ i ≤ j ≤n. Show thatfor any k, I k n, there is a consecutive subsequence whose sum is divisible by k.

參考答案